For a spring mass damper system, m = 50 kg, k = 5000 N/m and C/Cc =1/2 . Find the following: (a) Critical damping coefficient (b) Damped natural frequency (c) Logarithmic decrement
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a) 1000kg/s
b)8.6603 rad/s
Explanation:
Critical damping constant = 2 (km)^1/2
=2*(5000*50)^1/2
=1000 kg/s
zeta=C/Cc
=1/2
omega d = omega n {( 1-zeta^2)}^1/2
= (km)^1/2 * {( 1-zeta^2)}^1/2
=(5000/50)^1/2 {1-(1/2)^2}^1/2
=8.6603 rad/s
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